13258053 has 8 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 8838684.

The previous prime is 13258039. The next prime is 13258073. The reversal of 13258053 is 35085231.

13258053 is a `hidden beast` number, since 1 + 32 + 580 + 53 = 666.

It is not a de Polignac number, because 13258053 - 2¹⁸ = 12995909 is a prime.

It is a super-3 number, since 3×13258053³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 491039 = 13258053 / (1 + 3 + 2 + 5 + 8 + 0 + 5 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245493 + ... + 245546.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^13258053 is an apocalyptic number.

It is an amenable number.

13258053 is a deficient number, since it is larger than the sum of its proper divisors (6383547).

13258053 is an equidigital number, since it uses as much as digits as its factorization.

13258053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491048 (or 491042 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13258053 is about 3641.1609412384. The cubic root of 13258053 is about 236.6791042418.

It can be divided in two parts, 132 and 58053, that added together give a palindrome (58185).

The spelling of 13258053 in words is "thirteen million, two hundred fifty-eight thousand, fifty-three".